10001021102161 has 2 divisors, whose sum is σ = 10001021102162. Its totient is φ = 10001021102160.

The previous prime is 10001021102147. The next prime is 10001021102249. The reversal of 10001021102161 is 16120112010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8856837889936 + 1144183212225 = 2976044^2 + 1069665^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001021102161 - 2¹⁵ = 10001021069393 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001021102861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000510551080 + 5000510551081.

It is an arithmetic number, because the mean of its divisors is an integer number (5000510551081).

Almost surely, 2^{10001021102161} is an apocalyptic number.

It is an amenable number.

10001021102161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001021102161 is an equidigital number, since it uses as much as digits as its factorization.

10001021102161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10001021102161 its reverse (16120112010001), we get a palindrome (26121133112162).

The spelling of 10001021102161 in words is "ten trillion, one billion, twenty-one million, one hundred two thousand, one hundred sixty-one".